In biprism experiment, the fringe width is 0.6 mm . The distance between $6^{\mathrm{th}}$ dark fringe and…

In biprism experiment, the fringe width is 0.6 mm . The distance between $6^{\mathrm{th}}$ dark fringe and $8^{\text {th }}$ bright fringe on the same side of central bright fringe is
  1. 6 mm
  2. 4 mm
  3. 1.5 mm
  4. 0.9 mm

Solution

For $8^{\text {th }}$ bright fringe, $\mathrm{x}_8=8 \mathrm{X}$
For $6^{\text {th }}$ dark fringe, $\begin{aligned} & x_6=\left(6-\frac{1}{2}\right) X=5.5 X \\ & x_8-x_6=8 X-5.5 X=2.5 X \\ \therefore \quad & x_8-x_6=2.5 \times 0.6=1.5 \mathrm{~mm} \end{aligned}$

Asked in: MHT CET 2024 (15 May Shift 1)

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